Naslov: | Some recent discoveries about half-arc-transitive graphs : dedicated to Dragan Marušič on the occasion of his 60th birthday |
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Avtorji: | ID Conder, Marston D. E. (Avtor) ID Potočnik, Primož (Avtor) ID Šparl, Primož (Avtor) |
Datoteke: | RAZ_Conder_Marston_D._E._i2015.pdf (333,06 KB) MD5: 9634784ACCA3E4B36C396637CF87279F
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Jezik: | Angleški jezik |
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Vrsta gradiva: | Neznano |
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Tipologija: | 1.01 - Izvirni znanstveni članek |
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Organizacija: | ZUP - Založba Univerze na Primorskem
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Opis: | We present some new discoveries about graphs that are half-arc-transitive (that is, vertex- and edge-transitive but not arc-transitive). These include the recent discovery of the smallest half-arc-transitive 4-valent graph with vertex-stabiliser of order 4, and the smallest with vertex-stabiliser of order 8, two new half-arc-transitive 4-valent graphs with dihedral vertex-stabiliser ▫$D_4$▫ (of order 8), and the first known half-arc-transitive 4-valent graph with vertex-stabiliser of order 16 that is neither abelian nor dihedral. We also use half-arc-transitive group actions to provide an answer to a recent question of Delorme about 2-arc-transitive digraphs that are not isomorphic to their reverse. |
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Ključne besede: | graph, edge-transitive, vertex-transitive, arc-transitive, half arc-transitive |
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Leto izida: | 2015 |
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Št. strani: | str. 149-162 |
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Številčenje: | Vol. 8, no. 1 |
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PID: | 20.500.12556/RUP-17613 |
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UDK: | 519.17:512.542 |
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ISSN pri članku: | 1855-3966 |
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COBISS.SI-ID: | 17187417 |
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Datum objave v RUP: | 30.12.2021 |
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Število ogledov: | 1150 |
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Število prenosov: | 17 |
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